Defining parameters
| Level: | \( N \) | \(=\) | \( 6272 = 2^{7} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6272.dr (of order \(672\) and degree \(192\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 6272 \) |
| Character field: | \(\Q(\zeta_{672})\) | ||
| Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6272, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 172416 | 172416 | 0 |
| Cusp forms | 171648 | 171648 | 0 |
| Eisenstein series | 768 | 768 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(6272, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.